The study of holomorphic semigroups and composition operators occupies a pivotal role in modern analysis, bridging complex function theory and operator theory. Holomorphic semigroups, formed by ...

Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, Vol. 81A, No. 2 (1981), pp. 217-223 (7 pages) Let E be a nuclear Fréchet space. For open subsets U in E let H(U) ...

The Schwarz lemma stands as a cornerstone result in complex analysis, constraining holomorphic self-mappings of the unit disc by bounding both their magnitude and derivative. Traditionally, it affirms ...

This paper is primarily a study of generalized notions of envelope of holomorphy and holomorphic convexity for special (algebraically restricted) subsets of Cn and in part for arbitrary subsets of Cn.